The only scale with this MOS pattern that's a really significant minimum of harmonic entropy is srutal/pajara, in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is half of that (about a quartertone), so 3/2 is a period plus two generators; and hedgehog, in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).
In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.
Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.
Generator
Cents
Comments
0\2
0
1\24
50
2\46
52.17
Shrutar is around here
1\22
54.55
1\20
60
1\18
66.67
1\16
75
1\14
85.71
2\26
92.31
Injera is around here
1\12
100
L/s = 4
2\22
109.09
Srutal/Pajara is around here
600/(2+pi)
1\10
120
L/s = 3
600/(2+e)
3/28
128.57
600/(3+phi)
2/18
133.33
1\8
150
Boundary of propriety (generators
larger than this are proper)
In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.
Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.
larger than this are proper)